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Finding the Fourth Proportional to 640.10, 960.14 and 229.28

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Solution

The fourth proportional to 640.10, 960.14 and 229.28 is: 343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.10 : 960.14 = 229.28 : x
  2. Step 2: Convert to fraction form
    640.10/960.14 = 229.28/x
  3. Step 3: Cross multiply
    640.10x = 960.14 × 229.28
  4. Step 4: Simplify right side
    640.10x = 220,136.67
  5. Step 5: Solve for x
    x = 220,136.67/640.10
  6. Step 6: Final answer
    x = 343.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.